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10442184060 = 22357118212753
BaseRepresentation
bin10011011100110011…
…10001010101111100
3222221201210220121210
421232121301111330
5132341144342220
64444100124420
7516524046210
oct115631612574
928851726553
1010442184060
114479382490
122035096710
13ca54ab749
14710b88940
15411b056e0
hex26e67157c

10442184060 has 192 divisors, whose sum is σ = 36510372864. Its totient is φ = 2166374400.

The previous prime is 10442184043. The next prime is 10442184083. The reversal of 10442184060 is 6048124401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3791644 + ... + 3794396.

It is an arithmetic number, because the mean of its divisors is an integer number (190158192).

Almost surely, 210442184060 is an apocalyptic number.

10442184060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442184060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255186432).

10442184060 is an abundant number, since it is smaller than the sum of its proper divisors (26068188804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10442184060 is a wasteful number, since it uses less digits than its factorization.

10442184060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10442184060 in words is "ten billion, four hundred forty-two million, one hundred eighty-four thousand, sixty".